A generalized beta function and associated probability density.
A new criterion for close-to-convexity of partial sums of certain hypergeometric functions.
A new method to obtain series for and .
A note on boundedness properties of Wright's generalized hypergeometric functions
A note on certain classes of transformation formulas involving several variables.
A particular solution of a Painlevé system in terms of the hypergeometric function .
A proof of a conjecture of Knuth.
A remark on Whittaker functions on SL
We prove the recursive integral formula of class one -Whittaker functions on SL conjectured and verified in case of by Stade.
A Unified Group-Theoretic Method on Improper Partial Semi-Bilateral Generating Functions
2000 Mathematics Subject Classification: 33A65, 33C20.A unifed group-theoretic method of obtaining more general class of generating functions from a given class of improper partial semi-bilateral generating functions involving Laguerre and Gegenbauer polynomials are discussed.
About a new kind of Ramanujan-type series.
Accelerated series for universal constants, by the WZ method.
An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines. By using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel, the uniqueness...
An Apéry-like difference equation for Catalan's constant.
An application of fractional calculus
An explicit evaluation of the Gosper sum.
An extension of the Ramanujan-Bailey formula. (Une extension d'une formule de Ramanujan-Bailey.)
An integral representation of some hypergeometric functions.
Applications of certain linear operators in the theory of analytic functions
The object of the present paper is to illustrate the usefulness, in the theory of analytic functions, of various linear operators which are defined in terms of (for example) fractional derivatives and fractional integrals, Hadamard product or convolution, and so on.
Approach of -Derivative Operators to Terminating -Series Formulae
The -derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric series.
Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials.